Atkin-Lehner |
3- 5+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79335c |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1638400 |
Modular degree for the optimal curve |
Δ |
-7088491036616709375 = -1 · 322 · 55 · 412 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-781808,295496106] |
[a1,a2,a3,a4,a6] |
j |
-72492986766955041721/9723581668884375 |
j-invariant |
L |
0.45699939890963 |
L(r)(E,1)/r! |
Ω |
0.22849972185729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26445f1 |
Quadratic twists by: -3 |